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A cut and fill operation requires moving 5,000 cubic yards of soil. The soil has a swell factor of 25% when excavated and a shrinkage factor of 8% when compacted. How many cubic yards of compacted fill will result?

Correct Answer

D) 4,600 cubic yards

Compacted volume = original volume × (1 - shrinkage factor) = 5,000 × (1 - 0.08) = 5,000 × 0.92 = 4,600 cubic yards.

Answer Options
A
5,000 cubic yards
B
5,250 cubic yards
C
4,750 cubic yards
D
4,600 cubic yards

Why This Is the Correct Answer

Compacted volume = original volume × (1 - shrinkage factor) = 5,000 × (1 - 0.08) = 5,000 × 0.92 = 4,600 cubic yards.

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